International Journal of Gas Turbine, Propulsion and Power Systems
Online ISSN : 1882-5079
Non-equilibrium Condensing Flow Modeling in Nozzle and Turbine Cascade
Xiaofeng ZhuZhirong LinXin YuanTomohiro TejimaYoshiki NiizekiNaoki Shibukawa
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2012 Volume 4 Issue 3 Pages 9-16

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Abstract
This paper presents the development of numerical methods for modeling non-equilibrium condensing flows in steam turbines. The method is within Eulerian-Eulerian Framework. A Roe convective flux is derived, which is featured on using real steam property and fully coupling wetness fraction with other conservative variables in the Jacobian matrix. The analytical expressions of eigenvalue, right and left side eigenvectors are derived. The real steam property treatment is enlightened by the two-dimensional TTSE method, and the current paper extended it to three dimensions which exhibits great convenience for Eulerian-Eulerian Framework. Quadrature Method of Moments (QMOM) is implemented to model polydisperse droplet spectrum. To overcome instable issues caused by moment corruption, which is inevitable during steady state time marching, a correction scheme for moments is applied. Example calculations on nozzles and a turbine cascade are provided. Results show that the current model is robust and correct. QMOM is capable of representing the polydisperse droplet spectrum. Correction schemes play a crucial role for the stability and accuracy of QMOM.
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